Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#14583016 |
| Sylow | C43 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
644 conjugacy classes — view the full character table.
| maximal subgroup of | #25011834, #25011836, #25011841, … |
| maximal normal subgroup of | #25011834, #25011836, #25011841, … |
| maximal quotient of | C2×D8×C43⋊C8, C2×SD16×C43⋊C8, C2×Q16×C43⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 13400);